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All results from a given calculation for CH2CH(CH3)2 (Isobutyl radical)

using model chemistry: HF/CEP-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 2A'
Energy calculated at HF/CEP-31G
 hartrees
Energy at 0K-27.079093
Energy at 298.15K-27.088040
Nuclear repulsion energy72.725919
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at HF/CEP-31G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A 3289 2965 42.95      
2 A 3282 2958 191.44      
3 A 3277 2953 116.19      
4 A 3199 2883 31.79      
5 A 3151 2841 69.57      
6 A 1644 1481 11.88      
7 A 1638 1476 6.22      
8 A 1584 1428 1.57      
9 A 1557 1404 4.96      
10 A 1464 1320 5.38      
11 A 1313 1184 3.34      
12 A 1204 1085 3.15      
13 A 1061 956 0.27      
14 A 864 779 0.05      
15 A 542 489 41.81      
16 A 438 395 32.63      
17 A 385 347 0.59      
18 A 272 245 0.15      
19 A 3399 3064 62.03      
20 A 3273 2950 19.70      
21 A 3270 2947 32.44      
22 A 3192 2877 84.15      
23 A 1628 1468 3.50      
24 A 1626 1465 0.04      
25 A 1548 1396 6.27      
26 A 1474 1328 0.88      
27 A 1283 1156 1.57      
28 A 1055 951 0.00      
29 A 1029 928 1.59      
30 A 982 885 0.35      
31 A 392 354 0.07      
32 A 244 220 0.00      
33 A 138 124 0.68      

Unscaled Zero Point Vibrational Energy (zpe) 27347.4 cm-1
Scaled (by 0.9014) Zero Point Vibrational Energy (zpe) 24650.9 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at HF/CEP-31G
ABC
0.27540 0.26059 0.15177

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/CEP-31G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.377 0.000
C2 1.508 0.162 0.000
H3 -0.199 1.454 0.000
H4 2.069 0.189 0.926
H5 2.069 0.189 -0.926
C6 -0.643 -0.220 -1.277
C7 -0.643 -0.220 1.277
H8 -0.492 -1.300 -1.316
H9 -1.717 -0.027 -1.298
H10 -0.205 0.214 -2.177
H11 -0.492 -1.300 1.316
H12 -1.717 -0.027 1.298
H13 -0.205 0.214 2.177

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 C6 C7 H8 H9 H10 H11 H12 H13
C11.52321.09592.27502.27501.54881.54882.18752.18982.19272.18752.18982.1927
C21.52322.14071.08351.08352.53022.53022.80533.48142.77092.80533.48142.7709
H31.09592.14072.75752.75752.15182.15183.06682.48682.50553.06682.48682.5055
H42.27501.08352.75751.85293.51802.76513.71554.39653.84792.98793.81042.5959
H52.27501.08352.75751.85292.76513.51802.98793.81042.59593.71554.39653.8479
C61.54882.53022.15183.51802.76512.55301.09141.09131.09112.81272.79623.5080
C71.54882.53022.15182.76513.51802.55302.81272.79623.50801.09141.09131.0911
H82.18752.80533.06683.71552.98791.09142.81271.76691.76512.63233.15523.8179
H92.18983.48142.48684.39653.81041.09132.79621.76691.76493.15522.59613.7971
H102.19272.77092.50553.84792.59591.09113.50801.76511.76493.81793.79714.3539
H112.18752.80533.06682.98793.71552.81271.09142.63233.15523.81791.76691.7651
H122.18983.48142.48683.81044.39652.79621.09133.15522.59613.79711.76691.7649
H132.19272.77092.50552.59593.84793.50801.09113.81793.79714.35391.76511.7649

picture of Isobutyl radical state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H4 120.621 C1 C2 H5 120.621
C1 C6 H8 110.708 C1 C6 H9 110.897
C1 C6 H10 111.133 C1 C7 H11 110.708
C1 C7 H12 110.897 C1 C7 H13 111.133
C2 C1 H3 108.540 C2 C1 C6 110.902
C2 C1 C7 110.902 H3 C1 C6 107.668
H3 C1 C7 107.668 H4 C2 H5 117.529
C6 C1 C7 111.016 H8 C6 H9 108.093
H8 C6 H10 107.942 H9 C6 H10 107.941
H11 C7 H12 108.093 H11 C7 H13 107.942
H12 C7 H13 107.941
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/CEP-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.166      
2 C -0.413      
3 H 0.076      
4 H 0.152      
5 H 0.152      
6 C -0.393      
7 C -0.393      
8 H 0.099      
9 H 0.112      
10 H 0.117      
11 H 0.099      
12 H 0.112      
13 H 0.117      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.177 0.262 0.000 0.316
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.950 0.097 0.000
y 0.097 -28.368 0.000
z 0.000 0.000 -27.631
Traceless
 xyz
x 0.050 0.097 0.000
y 0.097 -0.577 0.000
z 0.000 0.000 0.527
Polar
3z2-r21.055
x2-y20.418
xy0.097
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.139 0.027 0.000
y 0.027 4.986 0.000
z 0.000 0.000 6.088


<r2> (average value of r2) Å2
<r2> 82.732
(<r2>)1/2 9.096